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496039992 = 23371928179
BaseRepresentation
bin11101100100001…
…111100000111000
31021120101102221120
4131210033200320
52003441234432
6121115505240
715202161510
oct3544174070
91246342846
10496039992
11235002208
1211a158220
137b9c97b6
1449c44840
152d834c2c
hex1d90f838

496039992 has 96 divisors (see below), whose sum is σ = 1495958400. Its totient is φ = 134250048.

The previous prime is 496039981. The next prime is 496039997. The reversal of 496039992 is 299930694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496039997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56559 + ... + 64737.

It is an arithmetic number, because the mean of its divisors is an integer number (15582900).

Almost surely, 2496039992 is an apocalyptic number.

496039992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496039992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747979200).

496039992 is an abundant number, since it is smaller than the sum of its proper divisors (999918408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

496039992 is a wasteful number, since it uses less digits than its factorization.

496039992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 51.

The square root of 496039992 is about 22271.9552801275. The cubic root of 496039992 is about 791.5995960957.

It can be divided in two parts, 49603 and 9992, that added together give a palindrome (59595).

The spelling of 496039992 in words is "four hundred ninety-six million, thirty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2166 2527 2888 3192 4332 5054 7581 8179 8664 10108 15162 16358 20216 24537 30324 32716 49074 57253 60648 65432 98148 114506 155401 171759 196296 229012 310802 343518 458024 466203 621604 687036 932406 1087807 1243208 1374072 1864812 2175614 2952619 3263421 3729624 4351228 5905238 6526842 8702456 8857857 11810476 13053684 17715714 20668333 23620952 26107368 35431428 41336666 62004999 70862856 82673332 124009998 165346664 248019996 496039992